Elliptic units of cyclic unramified extensions of complex quadratic fields

• Autorzy: Farshid Hajir
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 64
• Numer: 1
• Strony: 69-85

Daty

wydano

1993

otrzymano

1992-05-13

Twórcy

autor

Farshid Hajir

• Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A.

Bibliografia

• [1] H. Hayashi, On elliptic units and class number of a certain dihedral extension of degree 2l, Acta Arith. 44 (1984), 35-45.
• [2] D. Kubert and S. Lang, Modular Units, Springer, 1981.
• [3] G. Robert, Concernant la relation de distribution satisfaite par la fonction ϕ associée à un réseau complexe, Invent. Math. 100 (1990), 231-257.
• [4] C. L. Siegel, Lectures on Advanced Analytic Number Theory, Tata Institute of Fundamental Research, 1980.
• [5] H. M. Stark, L-functions at s=1. IV. First derivatives at s=0, Adv. in Math. 35 (1980), 197-235.
• [6] F. R. Villegas, private communication.
• [7] L. Washington, Introduction to Cyclotomic Fields, Springer, 1982.
• [8] H. Weber, Lehrbuch der Algebra, Vol. 3, Chelsea, 1961.